Question: Consider the linear programming problem: Maximize (x, y) = 1.75x + 1.25y Subject to 1.2x + 2.25y 14 x + 1.1y 8 2.5x

Consider the linear programming problem:

Maximize ƒ(x, y) = 1.75x + 1.25y

Subject to

1.2x + 2.25y ≤ 14

x + 1.1y ≤ 8

2.5x + y ≤ 9

x ≥ 0

y ≥ 0

Obtain solution:

(a) Graphically.

(b) Using the simplex method.

(c) Using an appropriate package or software library (for example, Excel, MATLAB, IMSL).


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